The impact of an object striking the tip of a horizontally mounted bar provides some insight into the dynamics of structural impact in general. Modeling a cylindrical bar provides significant simplifications to enable comparison between experiment and theory. In particular, experimental results available in the literature are compared herein to both elastic wave theory and vibration theory. Relating these two theories is the focus of this paper. Vibrations can be directly related to the time of impact, the maximum stress at the tip of the bar, and the frequencies of the struck bar. Once these stresses and frequencies are found, elastic wave theory can then be used to describe the stresses throughout the bar.

1.
Leishear, R. A., 2002, “Water Hammer Damage in the H-Area Tank Farm Chromate Water Systems,” WSRC-TR-2003–00181, Rev. 1, Westinghouse Savannah River Site, Aiken, S. C., pp. 1–70.
2.
Beltman
W. M.
,
Buresu
E. N.
,
Shepherd
J. E.
,
Zuhal
L.
,
1999
, “
The Structural Response of Cylindrical Shells to Internal Shock Loading
.”
Journal of Pressure Vessel Technology
,
121
, ASME, New York. pp.
315
322
.
3.
Simkins, T., 1987, “Resonance of Flexural Waves in Gun Tubes.” Technical report, ARCCB-TR-87008, US Army Armament Research, Development and Engineering Center, Watervliet, New York.
4.
Tang, S., 1965, “Dynamic Response of a Tube under Moving Pressure, Proceeding,” ASCE, New York, 5, pp. 97–122.
5.
Roark, R. J. and Young, W. C., 1975, Roark’s Formulas for Stress and Strain, McGraw Hill, New York, pp. 448, 504.
6.
Thomson, W. T., 1993, Theory of Vibration with Applications, Prentice Hall, Inc., New Jersey, pp. 1–192.
7.
Barez
F. W.
,
Goldsmith
, and
Sackman
J. L.
,
1979
, (
a) “Longitudinal Waves in Liquid Filled Tubes, -I, Theory (b) Experiments – II
,”
Int. Journal of Mechanical Science
, ASME, New York,
21
, pp.
213
236
.
8.
Lazan, B. J., 1975, “Energy Dissipation Mechanisms in Structures, with Particular Reference to Material Damping,” Structural Damping, ASME, New York, pp. 1–34.
9.
Graff, K. F., Wave Motion in Elastic Solids, 1975, Oxford University, pp. 77–1 to 82–3.
10.
Suresh, S., 1998, Fatigue of Materials, Cambridge University, Cambridge, England, p. 223.
11.
Harris, C. M., 2002, Shock and Vibration Handbook, McGraw Hill, New York, pp. 9–1, to 9–13.
This content is only available via PDF.
You do not currently have access to this content.